DelMonte, Guidubaldo, In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata

Table of figures

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              æqualis, quæ cùm ſintipſi BD æquidiſtantes, erunt & inter ſe­
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              ſe parallelæ. </s>
              <s id="N15078">quare IM ipſi AC eſt æquidiſtans. </s>
              <s id="N1507A">
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              ita­
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              〈que〉 AR eſt æqualis CO, & horum dimidia, hoc eſt RZ ipſi
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              OY æqualis erit. </s>
              <s id="N15084">atqui DR eſt ipſi DO æqualis; ergo DZ ipſi
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              DY exiſtit æqualis. </s>
              <s id="N15088">ipſi verò DZ eſt æqualis IV, & ipſi DY æ­
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              qualis VM. eruntigitur IV VM inter ſe equales. </s>
              <s id="N1508C">Iam
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              oſtenſum eſt, lineas KN FL IM, quę coniunguntangulos fi
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              guræ in parabole planè inſcriptæ, ipſi AC æquidiſtantes eſſe.
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              Diametrum què BD ipſas in punctis STV bifariam diſpeſcere. </s>
            </p>
            <p id="N15097" type="margin">
              <s id="N15099">
                <margin.target id="marg211"/>
              2.
                <emph type="italics"/>
              lemma.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N150A2" type="margin">
              <s id="N150A4">
                <margin.target id="marg212"/>
              9.
                <emph type="italics"/>
              quinti.
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              ex
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              33.34
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                <emph type="italics"/>
              primi.
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              </s>
            </p>
            <p id="N150B6" type="margin">
              <s id="N150B8">
                <margin.target id="marg213"/>
              2.
                <emph type="italics"/>
              ſexti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N150C1" type="margin">
              <s id="N150C3">
                <margin.target id="marg214"/>
                <emph type="italics"/>
              ex
                <emph.end type="italics"/>
              4.
                <emph type="italics"/>
              ſexti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N150D1" type="margin">
              <s id="N150D3">
                <margin.target id="marg215"/>
              11.
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N150DC" type="margin">
              <s id="N150DE">
                <margin.target id="marg216"/>
              9.
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N150E7" type="margin">
              <s id="N150E9">
                <margin.target id="marg217"/>
              16.
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N150F2" type="margin">
              <s id="N150F4">
                <margin.target id="marg218"/>
                <emph type="italics"/>
              ex
                <emph.end type="italics"/>
              11.
                <emph type="italics"/>
              quin
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              ti
                <emph.end type="italics"/>
              16.
                <emph type="italics"/>
              qu
                <gap/>
              u
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N1510C" type="margin">
              <s id="N1510E">
                <margin.target id="marg219"/>
              33.
                <emph type="italics"/>
              primi.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N15117" type="margin">
              <s id="N15119">
                <margin.target id="marg220"/>
              34.
                <emph type="italics"/>
              primi.
                <emph.end type="italics"/>
              </s>
            </p>
            <figure id="id.077.01.139.1.jpg" xlink:href="077/01/139/1.jpg" number="88"/>
            <figure id="id.077.01.139.2.jpg" xlink:href="077/01/139/2.jpg" number="89"/>
            <p id="N1512A" type="main">
              <s id="N1512C">Quoniam ita〈que〉 in portione FBL à dimidia baſi ducta eſt
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              TB, a dimidia verò dimidiæ baſis ducta eſt XK, erit
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              ſeſ­
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              quitertia ipſius KX, hoc eſt ipſius ST. eſt enim KT parallelo­
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              grammum, & ST ipſi KX æqualis. </s>
              <s id="N15138">Si igitur ponatur BT
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              quattuor, erit ST tria, & BS vnum. </s>
              <s id="N1513C">ſimiliter quoniam
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              ſeſquitertia eſt ipſius FR, hoc eſt ipſius TD, cùm ſit TD ipſi
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              FR ęqualis. </s>
              <s id="N15145">ſi ita 〈que〉 ponatur BD ſexdecim, erit vnaquæ〈que〉
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              FR TD duodecim. </s>
              <s id="N15149">& TB quattuor, vt poſitum fuit.
                <expan abbr="Quoniã">Quoniam</expan>
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              autem (vt diximus) eſt BD ad ER, vt DA ad AR, erit BD du­
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              pla ipſius RE. quare ſi BD eſt ſexdecim, erit RE octo. </s>
              <s id="N15153">& quo­
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              niam eſt FR duodecim, erit EF quatuor. </s>
              <s id="N15157">eſt autem FE ipſius
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              I9 ſeſquitertia, erit igitur I9 tria. </s>
              <s id="N1515B">& quoniam eſt ER ad 9Z, vt
                <lb/>
              RA ad AZ, erit ER dupla ipſius 9Z. ac propterea erit 9Z quat
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              tuor, cum ſit ER octo, & eſt 9I tria, tota ergo IZ, hoc eſt DV,
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              ſeptem exiſtet. </s>
              <s id="N15163">ſed quoniam eſt DT duodecim, cuius pars
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              DV eſt ſeptem, eritreliqua VT quin〈que〉. </s>
              <s id="N15167">Poſito igitur BS v­
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              no, erit ST tria, TV quin〈que〉, & VD ſeptem. </s>
              <s id="N1516B">quod erat quo­
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              〈que〉 demonſtrandum. </s>
              <s id="N1516F">Et hæc ſunt quę ab Archimede pro­
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              poſita fucrant. </s>
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            <p id="N15173" type="margin">
              <s id="N15175">
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              19.
                <emph type="italics"/>
              Archi­
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              medis de
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              quad. </s>
              <s id="N15180">pa­
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              rab.
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              </s>
            </p>
            <p id="N15186" type="margin">
              <s id="N15188">
                <margin.target id="marg222"/>
              34.
                <emph type="italics"/>
              primi.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N15191" type="main">
              <s id="N15193">Ex his tamen nonnulla quo〈que〉 colligemus ad ea, quæ ſe­
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              quuntur neceſſaria. </s>
              <s id="N15197">ac primùm quidem conſtat BD quadru­
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              plam eſſe ipſius BT, & ipſius FE. </s>
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